Fig. 1

aThe implementation principle of the block randomization algorithm. A block random factor with two variables needs to be confirmed: Dim size and block size. Then calculate the total number of block permutations according to the block random factor, calculate the number of blocks required according to the total number of samples and block size, and generate a corresponding number of random sequences. Finally, the corresponding combination is replaced in the randomized sequence to obtain the final distribution sequence. b The example random results under different block random factors, three factors (dim size is 2, block size is 2; dim size is 2, block size is 4; and dim size is 3, block size is 3) are shown here. c Optimized block randomization algorithm with group uniform interpolation method, which can maximize the uniformity of sample distribution after block randomization